Modifications of bijective S-Boxes with linear structures

被引：0
|
作者：
Kaisa Nyberg
机构：
[1] Aalto University School of Science,Department of Computer Science
来源：
Cryptography and Communications | 2023年 / 15卷
关键词：
Boolean functions; Bijective S-boxes; Linear structures; APN functions; Modification of bijective S-boxes; 94D10; 94A60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Various systematic modifications of vectorial Boolean functions have been used for finding new previously unknown classes of S-boxes with good or even optimal differential uniformity and nonlinearity. In this paper, a new general modification method is given that preserves the bijectivity property of the function in case the inverse of the function admits a linear structure. A previously known construction of such a modification based on bijective Gold functions in odd dimension is a special case of the new method.
引用
收藏
页码：617 / 625
页数：8
相关论文
共 50 条
  • [1] Modifications of bijective S-Boxes with linear structures
    Nyberg, Kaisa
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2023, 15 (03): : 617 - 625
  • [2] An effective evolutionary strategy for bijective S-boxes
    Chen, H
    Feng, DG
    CEC2004: PROCEEDINGS OF THE 2004 CONGRESS ON EVOLUTIONARY COMPUTATION, VOLS 1 AND 2, 2004, : 2120 - 2123
  • [3] Multi-objective optimisation of bijective s-boxes
    Fuller, J
    Millan, W
    Dawson, E
    NEW GENERATION COMPUTING, 2005, 23 (03) : 201 - 218
  • [4] Multiplicative complexity of bijective 4×4 S-boxes
    Pavol Zajac
    Matúš Jókay
    Cryptography and Communications, 2014, 6 : 255 - 277
  • [5] Multi-objective optimisation of bijective s-boxes
    Fuller, J
    Millan, W
    Dawson, E
    CEC2004: PROCEEDINGS OF THE 2004 CONGRESS ON EVOLUTIONARY COMPUTATION, VOLS 1 AND 2, 2004, : 1525 - 1532
  • [6] A theoretical analysis of generalized invariants of bijective S-boxes
    René Rodríguez
    Yongzhuang Wei
    Enes Pasalic
    Cryptography and Communications, 2023, 15 : 487 - 512
  • [7] A theoretical analysis of generalized invariants of bijective S-boxes
    Rodriguez, Rene
    Wei, Yongzhuang
    Pasalic, Enes
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2023, 15 (03): : 487 - 512
  • [8] Multi-objective optimisation of bijective s-boxes
    Joanne Fuller
    William Millan
    Ed Dawson
    New Generation Computing, 2005, 23 : 201 - 218
  • [9] Low-Latency Boolean Functions and Bijective S-boxes
    Rasoolzadeh, Shahram
    IACR TRANSACTIONS ON SYMMETRIC CRYPTOLOGY, 2022, 2022 (03) : 403 - 447
  • [10] Multiplicative complexity of bijective 4 x 4 S-boxes
    Zajac, Pavol
    Jokay, Matus
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2014, 6 (03): : 255 - 277
12345